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Finding the Fourth Proportional to 6,907.88, 10,345.32 and 3,783.20

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Solution

The fourth proportional to 6,907.88, 10,345.32 and 3,783.20 is: 5,665.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,907.88 : 10,345.32 = 3,783.20 : x
  2. Step 2: Convert to fraction form
    6,907.88/10,345.32 = 3,783.20/x
  3. Step 3: Cross multiply
    6,907.88x = 10,345.32 × 3,783.20
  4. Step 4: Simplify right side
    6,907.88x = 39,138,414.62
  5. Step 5: Solve for x
    x = 39,138,414.62/6,907.88
  6. Step 6: Final answer
    x = 5,665.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.